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- The distance between two towns M and N is 280 km. A car and a lorry travelled from M to N. The average speed of...(Solved)
The distance between two towns M and N is 280 km. A car and a lorry travelled from M to N. The average speed of the lorry is 20 km less than that of the car. The lorry takes one hour twenty minutes more than the car, to travel the distance.
a) Find the speed of the car correct to 2 d.p
b) If the lorry started its journey from M to N at 8:15 am and the car started 4 hours 20 minutes later, in the same direction, at what time did the car overtake the lorry?
c) How far from town N will the lorry be when the car reaches town N correct to 2 d.p?
Date posted: August 6, 2019. Answers (1)
- A glass of radius 3 cm in the form of a cylinder contains water to a height of 9cm.
a) Find the volume of the water...(Solved)
A glass of radius 3 cm in the form of a cylinder contains water to a height of 9cm.
a) Find the volume of the water in the glass correct to 2 decimal places.
b) When a spherical marble is submerged into the water in the glass, the water level rises by 1cm.
Calculate:
i. The volume of the marble correct to 2 decimal places.
ii. Radius of the marble correct to 2 decimal places.
iii. If the height of the glass is 13cm, calculate the surface area of the glass not in contact with water after the above process.
Date posted: August 6, 2019. Answers (1)
- A car dealer buys a car for Kshs.1, 250,000 and hire it for 25 weeks at a charge of Kshs. 3,500 per day. Insurance costs...(Solved)
A car dealer buys a car for Kshs.1, 250,000 and hire it for 25 weeks at a charge of Kshs. 3,500 per day. Insurance costs Kshs. 33,700 during the entire period, at the end of which he sells it at Kshs. 750,000. Calculate the profit that he makes on the transaction.
Date posted: August 6, 2019. Answers (1)
- At 2.00 pm, a ship is at a position P from where a light house L is 12km away on a bearing of 320o. At...(Solved)
At 2.00 pm, a ship is at a position P from where a light house L is 12km away on a bearing of 320o. At 4.00pm, the ship is at a position Q from where the lighthouse is now on a bearing of 035°. Given that the ship is traveling due West, find by calculation;
a) How far the lighthouse is from Q.
b) The speed of the ship.
c) The closest distance of the ship from the light house.
d) The lighthouse, point Q and point P were noted to be along the circumference of a circular field. Find the distance of P from the Centre of the field.
Date posted: August 6, 2019. Answers (1)
- A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch worth 52 Deutsche marks. Find the value of the...(Solved)
A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch worth 52 Deutsche marks. Find the value of the watch in:
(a) Swiss Francs
(b) Kenya shillings
Use the exchange rates below
1 Swiss Franc = 1.28 Deutsche marks
Swiss Franc = 45.21 Kenya shillings
Date posted: August 6, 2019. Answers (1)
- Atieno and Kamau started a business and they realized a profit of Kshs. 81,000. The profit
was to be allocated to development, dividends and reserves in...(Solved)
Atieno and Kamau started a business and they realized a profit of Kshs. 81,000. The profit
was to be allocated to development, dividends and reserves in the ratio 4:5:6 respectively. The
dividends were shared in the ratio of their ages. If their ages were 25years and 20 years
respectively, find how much each of the got.
Date posted: August 6, 2019. Answers (1)
- Atieno is now four times as old as her daughter and six times as old as her son. Twelve years
from now, the sum of the...(Solved)
Atieno is now four times as old as her daughter and six times as old as her son. Twelve years
from now, the sum of the ages of her daughter and son will differ from her age by 9 years. What
is Atieno’s present age?
Date posted: August 6, 2019. Answers (1)
- Draw using the scale of 1:2 the net of the figure below.(Solved)
Draw using the scale of 1:2 the net of the figure below.
Date posted: August 6, 2019. Answers (1)
- The data below shows masses in grams of pieces of metal in a factory. If the mean mass is 3.3g, find the value of m.(Solved)
The data below shows masses in grams of pieces of metal in a factory. If the mean mass is 3.3g, find the value of m.
Date posted: August 6, 2019. Answers (1)
- Without using a calculator or mathematical tables,simplify the expression below.(Solved)
Without using a calculator or mathematical tables,simplify the expression below.
Date posted: August 6, 2019. Answers (1)
- Find the Centre and the radius of a circle whose equation is(Solved)
Find the Centre and the radius of a circle whose equation is
Date posted: August 6, 2019. Answers (1)
- A straight line has the equation 3y-5x = 4 . Determine the acute angle which the line makes
with the X-axis.(Solved)
A straight line has the equation 3y-5x = 4 . Determine the acute angle which the line makes
with the X-axis.
Date posted: August 6, 2019. Answers (1)
- Find the area of the triangle below given that lines AB=25cm, BC = 15cm, AC = 14cm, BD =28cm and angle CBD =320.(Solved)
Find the area of the triangle below given that lines AB=25cm, BC = 15cm, AC = 14cm, BD =28cm and angle CBD =320.
Date posted: August 6, 2019. Answers (1)
- Find the integral values that satisfy the simultaneous inequalities below.(Solved)
Find the integral values that satisfy the simultaneous inequalities below.
Date posted: August 6, 2019. Answers (1)
- Using logarithm tables,evaluate.(Solved)
Using logarithm tables,evaluate.
Date posted: August 6, 2019. Answers (1)
- Given that vectors a,b and c are as shown below and p =4a-8b+ 6c.Find /p/(Solved)
Given that vectors a,b and c are as shown below and p =4a-8b+ 6c.Find /p/
Date posted: August 6, 2019. Answers (1)
- Find the value of x which satisfy the following equation.
52x - 6(5x)+5 = 0(Solved)
Find the value of x which satisfy the following equation.
52x - 6(5x)+5 = 0
Date posted: August 6, 2019. Answers (1)
- Given the expression below,find the value of m.
(Solved)
Given the expression below,find the value of m.
Date posted: August 6, 2019. Answers (1)
- What is the general equation of a straight line?(Solved)
What is the general equation of a straight line?
Date posted: July 12, 2019. Answers (1)
- In the figure below, PQRS is a rectangle in which PS=10k cm and PQ = 6k cm. M and N are
midpoints of QR and RS...(Solved)
In the figure below, PQRS is a rectangle in which PS=10k cm and PQ = 6k cm. M and N are
midpoints of QR and RS respectively
a) Find the are of the shaded region
b) Given that the area of the triangle MNR = 30 cm2. find the dimensions of the
rectangle
c) Calculate the sizes of angles θ and B giving your answer to 2 decimal places
Date posted: June 20, 2019. Answers (1)